Search a number
-
+
2312500000 = 255937
BaseRepresentation
bin1000100111010101…
…1111001100100000
312222011101011122011
42021311133030200
514214000000000
61021244522304
7111206632336
oct21165371440
95864334564
102312500000
11a87389528
12546550394
132ab1308c5
1417d1a3b56
15d80402ba
hex89d5f320

2312500000 has 120 divisors (see below), whose sum is σ = 5844725964. Its totient is φ = 900000000.

The previous prime is 2312499949. The next prime is 2312500007. The reversal of 2312500000 is 52132.

Adding to 2312500000 its reverse (52132), we get a palindrome (2312552132).

It can be divided in two parts, 2312 and 500000, that multiplied together give a square (1156000000 = 340002).

It can be written as a sum of positive squares in 10 ways, for example, as 1943399056 + 369100944 = 44084^2 + 19212^2 .

It is not an unprimeable number, because it can be changed into a prime (2312500007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62499982 + ... + 62500018.

Almost surely, 22312500000 is an apocalyptic number.

2312500000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922362982).

2312500000 is an abundant number, since it is smaller than the sum of its proper divisors (3532225964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2312500000 is an frugal number, since it uses more digits than its factorization.

2312500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2312500000 is about 48088.4601541784. The cubic root of 2312500000 is about 1322.3931181736.

The spelling of 2312500000 in words is "two billion, three hundred twelve million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 625 740 800 925 1000 1184 1250 1480 1850 2000 2500 2960 3125 3700 4000 4625 5000 5920 6250 7400 9250 10000 12500 14800 15625 18500 20000 23125 25000 29600 31250 37000 46250 50000 62500 74000 78125 92500 100000 115625 125000 148000 156250 185000 231250 250000 312500 370000 390625 462500 500000 578125 625000 740000 781250 925000 1156250 1250000 1562500 1850000 1953125 2312500 2500000 2890625 3125000 3700000 3906250 4625000 5781250 6250000 7812500 9250000 11562500 12500000 14453125 15625000 18500000 23125000 28906250 31250000 46250000 57812500 62500000 72265625 92500000 115625000 144531250 231250000 289062500 462500000 578125000 1156250000 2312500000